Which set has the largest standard deviation? $$\begin{array} { l l l l l | l l l l l }
\text { Set 1 } &&&&& \text { Set 2 } \
\hline 80 & 110 & 120 & 130 & 180 & 10 & 40 & 50 & 60 & 110
\end{array}$$
A)Set 2,because 80 and 180 in set 1 are larger than 10 and 110 in set 2.
B)Neither,because the values in set 1 are just the values in set 2 plus 70.
C)Set 1,because 180 in set 1 is larger than 110 in set 2.
D)Set 1,because 80 and 180 in set 1 are larger than 10 and 110 in set 2.
E)Set 2,because set 2 has a smaller range than set 1.

Question

Which set has the largest standard deviation? $$\begin{array} { l l l l l | l l l l l } 
\text { Set 1 }  &&&&&  \text { Set 2 }  \
\hline 80 & 110 & 120 & 130 & 180 & 10 & 40 & 50 & 60 & 110
\end{array}$$
A)Set 2,because 80 and 180 in set 1 are larger than 10 and 110 in set 2.
B)Neither,because the values in set 1 are just the values in set 2 plus 70.
C)Set 1,because 180 in set 1 is larger than 110 in set 2.
D)Set 1,because 80 and 180 in set 1 are larger than 10 and 110 in set 2.
E)Set 2,because set 2 has a smaller range than set 1.

Quizplus · Accepted Answer

The values in Set 1 are exactly 70 more than the corresponding values in Set 2, which means they have the same spread and thus the same standard deviation.

Which Set Has the Largest Standard Deviation A)Set 2,because 80 and 180 in Set 1 Are Larger